Fundamental cycle of a periodic box-ball system
Abstract
We investigate a box-ball system with periodic boundary conditions. Since the box-ball system is a deterministic dynamical system that takes only a finite number of states, it will exhibit periodic motion. We determine its fundamental cycle for a given initial state.
- Publication:
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Journal of Physics A Mathematical General
- Pub Date:
- January 2003
- DOI:
- 10.1088/0305-4470/36/1/307
- arXiv:
- arXiv:nlin/0208042
- Bibcode:
- 2003JPhA...36...99Y
- Keywords:
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- Nonlinear Sciences - Exactly Solvable and Integrable Systems;
- Nonlinear Sciences - Cellular Automata and Lattice Gases
- E-Print:
- 28 pages, 6 figures